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In wireless communications, the performance of non-orthogonal sequence sets significantly affects the level of multi-user interference when the number of users surpasses the sequence length. The design of non-orthogonal sequences plays a…

Information Theory · Computer Science 2025-10-21 Zhi Gu , Wai Ho Mow

This paper aims to search for new optimal and sub-optimal Odd Binary Z-Complimentary Pairs (OBZCPs) for lengths up to 49. As an alternative to the celebrated binary Golay complementary pairs, optimal OBZCPs are the best almost-complementary…

Information Theory · Computer Science 2024-11-14 Peter Kazakov , Zilong Liu

A construction of expander codes is presented with the following three properties: (i) the codes lie close to the Singleton bound, (ii) they can be encoded in time complexity that is linear in their code length, and (iii) they have a…

Information Theory · Computer Science 2016-11-17 Ron M. Roth , Vitaly Skachek

Mutually orthogonal complementary sets (MOCSs) have received significant research attention in recent years due to their wide applications in communications and radar. Existing MOCSs which are constructed based on generalized Boolean…

Information Theory · Computer Science 2020-03-17 Shing-Wei Wu , Chao-Yu Chen , Zilong Liu

Rate-compatible error-correcting codes (ECCs), which consist of a set of extended codes, are of practical interest in both wireless communications and data storage. In this work, we first study the lower bounds for rate-compatible ECCs,…

Information Theory · Computer Science 2017-05-22 Pengfei Huang , Yi Liu , Xiaojie Zhang , Paul H. Siegel , Erich F. Haratsch

Zero correlation zone (ZCZ) sequences and Golay complementary sequences are two kinds of sequences with different preferable correlation properties. Golay-ZCZ sequences are special kinds of complementary sequences which also possess a large…

Information Theory · Computer Science 2021-12-17 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

Multiply constant-weight codes (MCWCs) have been recently studied to improve the reliability of certain physically unclonable function response. In this paper, we give combinatorial constructions for MCWCs which yield several new infinite…

Information Theory · Computer Science 2014-11-11 Yeow Meng Chee , Han Mao Kiah , Hui Zhang , Xiande Zhang

Dirty Paper Coding (DPC) is considered as the optimal precoding which achieves capacity for the Gaussian Multiple-Input Multiple-Output (MIMO) broadcast channel (BC). However, to find the optimal precoding order, it needs to repeat N! times…

Information Theory · Computer Science 2023-04-11 Zhibin Zou , Aveek Dutta

Physical layer network coding (PNC) has been proposed for next generation networks. In this contribution, we investigate PNC schemes with embedded perfect secrecy by exploiting structured interference in relay networks with two users and a…

Information Theory · Computer Science 2016-02-02 David Karpuk , Arsenia Chorti

A conflict-avoiding code (CAC) of length L and weight w is used for deterministic multiple-access without feedback. When the number of simultaneous active users is less than or equal to w, such a code is able to provide a hard guarantee…

Information Theory · Computer Science 2026-04-20 Tsai-Lien Wong , Kangkang Xu , Yuan-Hsun Lo , Kenneth W. Shum , Yijin Zhang

In this paper, we prove existence of optimal complementary dual codes (LCD codes) over large finite fields. We also give methods to generate orthogonal matrices over finite fields and then apply them to construct LCD codes. Construction…

Information Theory · Computer Science 2017-04-14 Lin Sok , Minjia Shi , Patrick Solé

With the ever-increasing computing power of supercomputers and the growing scale of scientific applications, the efficiency of MPI collective communication turns out to be a critical bottleneck in large-scale distributed and parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Jiajun Huang , Sheng Di , Xiaodong Yu , Yujia Zhai , Zhaorui Zhang , Jinyang Liu , Xiaoyi Lu , Ken Raffenetti , Hui Zhou , Kai Zhao , Khalid Alharthi , Zizhong Chen , Franck Cappello , Yanfei Guo , Rajeev Thakur

Sets of sequences with good correlation properties are desired in many active sensing and communication systems, e.g., multiple-input-multiple-output (MIMO) radar systems and code-division multiple-access (CDMA) cellular systems. In this…

Optimization and Control · Mathematics 2016-05-04 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Optimal partitioned cyclic difference packings (PCDPs) are shown to give rise to optimal frequency-hopping sequences and optimal comma-free codes. New constructions for PCDPs, based on almost difference sets and cyclic difference matrices,…

Information Theory · Computer Science 2016-11-17 Yeow Meng Chee , Alan C. H. Ling , Jianxing Yin

Common signals in public channels of cellular systems are usually transmitted omnidirectionally from the base station (BS). In recent years, both discrete and consecutive omnidirectional space-time block codings (STBC) have been proposed…

Signal Processing · Electrical Eng. & Systems 2019-05-03 Can Liu , Xiang-Gen Xia , Yongzhao Li , Xiqi Gao , Hailin Zhang

Zero correlation zone (ZCZ) sequences and Golay sequences are two kinds of sequences with different preferable correlation properties. It was shown by Gong \textit{et al.} and Chen \textit{et al.} that some Golay sequences also possess a…

Information Theory · Computer Science 2021-08-16 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

The performance of a CDMA based wireless system is largely dependent on the characteristics of pseudo-random spreading codes. The spreading codes should be carefully chosen to ensure highest possible peak value of auto-correlation function…

Information Theory · Computer Science 2012-06-12 Deepak Kedia

Function-correcting codes with data protection simultaneously protect both the data and a function of the data at distinct error-correction levels. When the function receives strictly stronger protection than the data, such a code is called…

Information Theory · Computer Science 2026-04-30 Charul Rajput , B. Sundar Rajan , Ragnar Freij-Hollanti , Camilla Hollanti

Perfect Space-Time Codes (STC) are optimal codes in their original construction for Multiple Input Multiple Output (MIMO) systems. Based on Cyclic Division Algebras (CDA), they are full-rate, full-diversity codes, have Non-Vanishing…

Information Theory · Computer Science 2010-11-03 Mireille Sarkiss , Ghaya Rekaya-Ben Othman , Mohamed Oussama Damen , Jean-Claude Belfiore

In this paper, two modulation schemes based on complementary sequences (CSs) are proposed for uplink control channels in unlicensed bands. These schemes address high peak-to-average-power ratio (PAPR) under non-contiguous resource…

Information Theory · Computer Science 2020-06-30 Alphan Sahin , Rui Yang
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